两条内角平分线相等的三角形是等腰三角形.这就是著名的斯坦纳——雷米欧司定理.这是一个充满诱惑力的几何命题,是一道脍炙人口的几何名题.1840年德国数学家雷米欧司在给斯图姆的一封信中提到,几何题在没有证明之前,很难说它是难还是容易.等腰三角形两底角平分线相等,初中生都会证明;可是反过来,已知三角形两内角平分线相等,要证它是等腰三角形却不容易了,我至今还没有想出来,斯图姆向许多数学家提到了这件事,请求给出一个纯粹的几何学的证明,首先回答这个问题的是瑞士的几何学家斯坦纳(1796—1863),所以这个问题就以斯坦纳——雷米欧司定理而闻名于世. This is the famous Steiner-Lemigros theorem, a seductive geometric proposition that is a popular geometric title. In 1840 the German mathematician In a letter to Sturm, Remyosi mentions that it is difficult or impossible to say that geometric problems are difficult or easy until they are unproven.The junior middle school students will all prove that the bisector of the isosceles triangle is equal, , Knowing that the bisector of the interior angles of the two triangles is equal, it is not easy to prove that it is an isosceles triangle, and I have not figured it out so far. Sturm mentioned this to many mathematicians asking for a purely geometric , The first to answer this question was the Swiss Geometer Steiner (1796-1863), so this question is best known for its Steiner-Remy Ossi theorem.